JEE Main 2017 Physics question

PhysicsMoving Charges and MagnetismJEE Main 2017

In a certain region static electric and magnetic fields exist. The magnetic field is given by . If a test charge moving with a velocity experiences no force in that region, then the electric field in the region, in SI units, is:

Answer: (4)

Solution

Zero net force means the Lorentz force vanishes:

q(Missing argument for \vec\vec E + Missing argument for \vec\vec v×Missing argument for \vec\vec B) = 0 Missing argument for \vec\vec E = - Missing argument for \vec\vec v×Missing argument for \vec\vec B.

Compute the cross product:

Missing argument for \vec\vec v×Missing argument for \vec\vec B = = Missing or unrecognized delimiter for \Bigl\Bigl[Missing argument for \hat\hat iMissing or unrecognized delimiter for \bigl\bigl((-1)(-4)-(2)(2)Missing or unrecognized delimiter for \bigr\bigr) -

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Question ID VK-115783